Question

4x - 5y = 7 2x + 5 = 11 Решите систему уравнений

Answer 1

Ответ:   x = 3;  y = 1.

Решение:

Сначала посмотрим на второе уравнение:

2x + 5 = 11

2x = 6

x = 6/2

x = 3.

Подставляем это в первое уравнение, чтобы найти y:

4*3 - 5y = 7

12 - 5y = 7

5y = 12 - 7

5y = 5

y = 1.

Вот и все! Удачи!

Answer 2

To solve the system of equations, we'll use the method of substitution or elimination. First, let's take a look at the system:

1. 4x - 5y = 7
2. 2x + 5 = 11

Step 1: Solve Equation 2 for x Subtract 5 from both sides: 2x = 11 - 5 2x = 6

Now, divide both sides by 2 to find the value of x: x = 6 / 2 x = 3

Step 2: Substitute the value of x (which we found to be 3) into Equation 1: 4(3) - 5y = 7

Step 3: Solve for y: 12 - 5y = 7

Subtract 12 from both sides: -5y = 7 - 12 -5y = -5

Now, divide both sides by -5 to find the value of y: y = -5 / -5 y = 1

So, the solution to the system of equations is x = 3 and y = 1.